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Finding the Fourth Proportional to 381,146.52, 571,802.34 and 114,884.76

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Solution

The fourth proportional to 381,146.52, 571,802.34 and 114,884.76 is: 172,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,146.52 : 571,802.34 = 114,884.76 : x
  2. Step 2: Convert to fraction form
    381,146.52/571,802.34 = 114,884.76/x
  3. Step 3: Cross multiply
    381,146.52x = 571,802.34 × 114,884.76
  4. Step 4: Simplify right side
    381,146.52x = 65,691,374,598.34
  5. Step 5: Solve for x
    x = 65,691,374,598.34/381,146.52
  6. Step 6: Final answer
    x = 172,352.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.